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in Logarithm by (70.4k points)
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Statemen-1: If `x lt 1`, then the least value of `"log"_(2)x^(3) - "log"_(x) (0.125)" is "6`.
A. Statement-1 is True, Statement-2 is true, Statement-2 is a correct explanation for Statement-1.
B. Statement-1 is True, Statement-2 is true, Statement-2 is NOT a correct explanation for Statement-1.
C. Statement-1 is True, Statement-2 is False.
D. Statement-1 is False, Statement-2 is True.

1 Answer

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Best answer
Correct Answer - C
We know that `AM ge GM` So, statement-2 is false.
Now,
`"log"_(2)x^(3) -"log"_(x) (0.125)`
`= 3 "log"_(2) x - "log"_(x) ((1)/(8))`
`= 3 ("log"_(2) x + "log"_(x)2) gt 3 xx 2 " " [because "log"_(2) x + "log"_(x) 2 gt 2]`

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